Description

Book Synopsis
Presents the historical development of mathematical analysis. This book surveys the history of differential equations, the calculus of variations, and functional analysis. It describes the development of the theory of complex functions in the nineteenth century.

Table of Contents
Antiquity by R. Thiele Precursors of differentiation and integration by J. van Maanen Newton's method and Leibniz's calculus by N. Guicciardini Algebraic analysis in the 18th century by H. N. Jahnke The origins of analytic mechanics in the 18th century by M. Panza The foundation of analysis in the 19th century by J. Lutzen Analysis and physics in the nineteenth century: The case of boundary-value problems by T. Archibald Complex function theory, 1780-1900 by U. Bottazzini Theory of measure and integration from Riemann to Lebesgue by T. Hochkirchen The end of the science of quantity: Foundations of analysis, 1860-1910 by M. Epple Differential equations: A historical overview to circa 1900 by T. Archibald The calculus of variations: A historical survey by C. Fraser The origins of functional analysis by R. Siegmund-Schultze Index of names Subject index.

A History of Analysis

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    A Hardback by Hans Niels Jahnke

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 30/07/2003
      ISBN13: 9780821826232, 978-0821826232
      ISBN10:

      Description

      Book Synopsis
      Presents the historical development of mathematical analysis. This book surveys the history of differential equations, the calculus of variations, and functional analysis. It describes the development of the theory of complex functions in the nineteenth century.

      Table of Contents
      Antiquity by R. Thiele Precursors of differentiation and integration by J. van Maanen Newton's method and Leibniz's calculus by N. Guicciardini Algebraic analysis in the 18th century by H. N. Jahnke The origins of analytic mechanics in the 18th century by M. Panza The foundation of analysis in the 19th century by J. Lutzen Analysis and physics in the nineteenth century: The case of boundary-value problems by T. Archibald Complex function theory, 1780-1900 by U. Bottazzini Theory of measure and integration from Riemann to Lebesgue by T. Hochkirchen The end of the science of quantity: Foundations of analysis, 1860-1910 by M. Epple Differential equations: A historical overview to circa 1900 by T. Archibald The calculus of variations: A historical survey by C. Fraser The origins of functional analysis by R. Siegmund-Schultze Index of names Subject index.

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